Journal Articles IMA Journal of Numerical Analysis Year : 2007

Asymptotic behavior of a finite volume scheme for the transient drift-diffusion model

Abstract

In this paper, we propose a finite volume discretization for multidimensional nonlinear drift-diffusion system. Such a system arises in semi-conductors modeling and is composed of two parabolic equations and an elliptic one. We prove that the numerical solution converges to a steady state when time goes to infinity. Several numerical tests show the efficiency of the method.

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hal-00083466 , version 1 (03-07-2006)

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  • HAL Id : hal-00083466 , version 1

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Claire Chainais-Hillairet, Francis Filbet. Asymptotic behavior of a finite volume scheme for the transient drift-diffusion model. IMA Journal of Numerical Analysis, 2007, 27, pp.689-716. ⟨hal-00083466⟩
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